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Addendum to On Kuratowski partitions in the Marczewski and Laver structures and Ellentuck topology
Joanna Jureczko
In this paper we present the generalizations of results, given in the paper published in Georgian J. Math. 26(2019) no. 4, pp 591-598, towards point-finite families.
Equivalence of the existence of K-partitions with the existence of the precipitous ideal
Ryszard Frankiewicz, Joanna Jureczko
In this note we give equivalence of the existence of K-partitions with the existence of the precipitous ideal which is essentially topological. This way we strengthen the main resu…
Partitions of non-complete Baire metric spaces
Ryszard Frankiewicz, Joanna Jureczko
We investigate the properties of ideals associated with Kuratowski partitions of non-complete Baire metric spaces. We show that such an ideal can be precipitous.
On special partitions of metric spaces
Ryszard Frankiewicz, Joanna Jureczko
The main result of this paper is to show that, if is the smallest real-valued measurable cardinal not greater than , then there exists a complete metric space of…